Prime p₀= 2971749120952023491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2971747024585413707	0 2 20 72 156 164 176 182 204 210 222 230 314 366 384 386	-2096366609784
STPT(10)	2971747220829470261	0 2 6 8 48 50 90 92 96 98	-1900122553230
STPT(10)	2971748045406275297	0 2 30 32 42 44 54 56 84 86	-1075545748194
SPT(16)	2971748397508056137	0 12 54 56 74 110 210 212 264 266 366 402 420 422 464 476	-723443967354
SPT(16)	2971748519739064391	0 32 146 152 182 186 212 240 242 270 296 300 330 336 450 482	-601212959100
STPT(10)	2971748981909561627	0 2 54 56 72 74 90 92 144 146	-139042461864
SPT(16)	2971749272627006959	0 52 54 120 124 162 184 190 252 258 280 318 322 388 390 442	151674983468
STPT(10)	2971749622121840447	0 2 30 32 42 44 54 56 84 86	501169816956
STPT(10)	2971749688550329199	0 2 42 44 60 62 78 80 120 122	567598305708
STPT(10)	2971749876176834507	0 2 30 32 42 44 54 56 84 86	755224811016
SPT(16)	2971750398081845899	0 4 60 100 120 142 172 180 322 330 360 382 402 442 498 502	1277129822408